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73540060768 = 2547277176521
BaseRepresentation
bin100010001111101010…
…1000100011001100000
321000211010121011022101
41010133111010121200
52201102223421033
653441150420144
75212251126346
oct1043725043140
9230733534271
1073540060768
11292084a1129
1212304501654
136c1c99c375
1437b8c41996
151da62d297d
hex111f544660

73540060768 has 48 divisors (see below), whose sum is σ = 148397102784. Its totient is φ = 35857566720.

The previous prime is 73540060751. The next prime is 73540060799. The reversal of 73540060768 is 86706004537.

It is a super-2 number, since 2×735400607682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328348 + ... + 504868.

It is an arithmetic number, because the mean of its divisors is an integer number (3091606308).

Almost surely, 273540060768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73540060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74198551392).

73540060768 is an abundant number, since it is smaller than the sum of its proper divisors (74857042016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73540060768 is a wasteful number, since it uses less digits than its factorization.

73540060768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176855 (or 176847 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 73540060768 in words is "seventy-three billion, five hundred forty million, sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 277 376 554 752 1108 1504 2216 4432 8864 13019 26038 52076 104152 176521 208304 353042 416608 706084 1412168 2824336 5648672 8296487 16592974 33185948 48896317 66371896 97792634 132743792 195585268 265487584 391170536 782341072 1564682144 2298126899 4596253798 9192507596 18385015192 36770030384 73540060768